Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 7 - Integration Techniques - 7.1 Basic Approaches - 7.1 Exercises - Page 514: 4


A good first step in solving $\int \frac{x^3-2x+4}{x-1}dx$ would be to perform long division.

Work Step by Step

After performing long division, $\int \frac{x^3-2x+4}{x-1}dx = \int (x^2+x-1 + \frac{3}{x-1})dx$, which is more easier to integrate.
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